Question : A car driver leaves Bangalore at 8.30 A.M. and expects to reach a place 300 km from Bangalore at 12.30 P.M. At 10.30 A.M., he finds that he has covered only 40% of the distance. By how much, he has to increase the speed of the car in order to keep up his schedule?
Option 1: 45 km/hr
Option 2: 40 km/hr
Option 3: 35 km/hr
Option 4: 30 km/hr
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Correct Answer: 30 km/hr
Solution :
Given: Driver started at 8:30 A.M. to cover a distance of 300 km till 12:30 P.M.
At 10.30 A.M., he finds that he has covered only 40% of the distance.
Distance covered in 2 hours = 300 × $\frac{40}{100}$ = 120 km
Remaining distance = 300 – 120 = 180 km
Required speed to reach in 2 hours = $\frac{180}{2}$ = 90 km/hr
Initial speed = $\frac{120}{2}$ = 60 km/hr
Required increase in speed = (90 – 60) = 30 km/hr
Hence, the correct answer is 30 km/hr.
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